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A student got a grade of 85% on a text in which she answered 3 questions incorrectly. How many questions were on the test?

User JCorcuera
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Alright, we have to ask ourselves "How much of 100% is one question worth?"

To find this, we must first find out how much was taken off of 100% to get 85%. In terms of math, this can be put like this:

100% - X = 85%

Now, we solve for X.

100% - X = 85%

Add X to both sides.

100% = 85% + X

Subtract 85% from both sides.

100% - 85% = X

Subtract.

15% = X

This means that 15% was taken off of 100% to get 85%. In other words, 3 incorrect questions are equal to 15% of the final grade. In terms of math, we can put it like this:

3 = 15%

Now, let's go back to the first question we asked at the beginning.

"How much of 100% is one question worth?"

To find this, we need to make 3 become 1 in the equation 3 = 15%.

3 = 15%

Divide both sides by three.

3/3 = 15%/3

Divide.

1 = 5%

This means that 1 question is worth 5% of the grade. With this information, we can find out how many questions it takes to get 100% of the grade. To do this, we need to make the 5% become 100%.

1 = 5%

Multiply both sides by 20.

20(1) = 20(5%)

20 = 100%

This means that there are a total of 20 questions on the test.

User Nishith  Sheth
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